Josephine is constructing a circle circumscribed about triangle XYZ. She uses the following sequence of steps to construct the circle. She constructs the perpendicular bisectors of two sides.
She finds their point of intersection, P.
She uses a compass, with the fixed end on X, to draw a circle passing through point P.
Did Josephine make any errors while constructing the circle?

A.
Yes, she should have found the perpendicular bisectors of all 3 sides.
B.
Yes, she should have constructed the angle bisectors.
C.
Yes, she should have placed the compass with the fixed end on P and drawn a circle through point X.
D.
No, she did not make any errors.

Aclass consists of 55% boys and 45% girls. it is observed that 25% of the class are boys and scored an a on the test, and 35% of the class are girls and scored an a on the test. if a student is chosen at random and is found to be a girl, the probability that the student scored an ais

Write the contrapositive of the conditional statement. determine whether the contrapositive is true or false. if it is false, find a counterexample. a converse statement is formed by exchanging the hypothesis and conclusion of the conditional. a) a non-converse statement is not formed by exchanging the hypothesis and conclusion of the conditional. true b) a statement not formed by exchanging the hypothesis and conclusion of the conditional is a converse statement. false; an inverse statement is not formed by exchanging the hypothesis and conclusion of the conditional. c) a non-converse statement is formed by exchanging the hypothesis and conclusion of the conditional. false; an inverse statement is formed by negating both the hypothesis and conclusion of the conditional. d) a statement not formed by exchanging the hypothesis and conclusion of the conditional is not a converse statement. true

The measures of the angles in △abc are given by the expressions in the table. angle measure angle a 65° angle b (3x−10)° angle c (2x)∘ find the value of x. then find the m∠b and m∠c.